Hidden Out Exercises
 

1. A'V2'W vs. A•8• with A+K+744'W. You have three outs to win (3 deuces) and six outs to tie (3 sevens and 3 fours). When there is one kicker on the board bigger than your opponent's kicker, pairing either of the bottom two cards will counterfeit his kicker. Notice that pairing the king does not counterfeit his kicker. 2. Ar2r vs. A•8• with A+K4*944r. You have three outs to win (3 deuces) and 22 outs to tie (1 ace, 3 kings, 4 queens, 4 jacks, 4 tens, 3 nines, and 3 fours). When there are two kickers on the board bigger than your opponent's kicker, pairing any board card will counterfeit his kicker. Also, any card larger than his kicker will put three higher kickers on board.

3. A r Kr vs. K#3# with K•Tr7#34. You have nine outs to win (3 aces, 3 tens, and 3 sevens) and zero outs to tie. Any board pair larger than your opponent's bottom pair counterfeits his hand. Since your ace kicker always plays, you win whenever he is counterfeited. 4. KV9V vs. K#3+ with K•Tr7463•. You have six outs to win (3 tens and 3 nines) and three outs to tie (3 sevens). Your kicker plays when the ten pairs, but it does not play when the seven pairs. If you both have two pair, and your kicker does not play, you tie. Just as with A•8• in Hand No. 1, a board card larger than your kicker weakens your hand.

5. A•QJJ6 vs. 3•3r with J+Jr8•4#. You have twelve outs to win (3 aces, 3 queens, 3 eights, and 3 fours) and zero outs to tie. Two higher pair on board counterfeits your opponent's pair.
6. A424 vs. A•T# with AVAd-6QIW6•. You have three outs to win (3 deuces) and fourteen outs to tie (4 kings, 3 queens, 4 jacks, and 3 sixes). If your opponent has trips, any board pair will give him a full house and counterfeit any kicker. If there is one card on board higher than his kicker, any river card bigger than his kicker will put two higher cards on board. His kicker will not play.

   
 
   
 
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